74.6k views
1 vote
Consider matrix A: A=[0,-3,-6,-2]. What are the elements of the resulting matrix A²?

User EggBender
by
7.5k points

1 Answer

5 votes

Final answer:

The 'squared' one-dimensional matrix A², obtained by squaring each individual element of A [0,-3,-6,-2], is [0, 9, 36, 4].

Step-by-step explanation:

The question involves finding the square of a matrix, denoted as A². However, from the provided matrix A, which is [0,-3,-6,-2], it appears to be a one-dimensional array, not a traditional square or rectangular two-dimensional matrix. To square this matrix in the conventional sense, we would need a square matrix with an equal number of rows and columns. That said, if we were to multiply this array by itself element-wise (Hadamard product), the resulting elements of the 'squared' one-dimensional matrix A² would be calculated as the square of each individual element in A.

If we follow this non-standard element-wise squaring approach:

  • The element 0 squared is 0.
  • The element -3 squared is 9.
  • The element -6 squared is 36.
  • The element -2 squared is 4.

Consequently, the new 'squared' one-dimensional matrix A², given by squaring each individual element, would be [0, 9, 36, 4].

User Inforeqd
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories